138768469125
138,768,469,125 is an odd composite number composed of seven prime numbers multiplied together.
138768469125 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138768469125:
3 × 53 × 11 × 13 × 17 × 292 × 181
(3 × 5 × 5 × 5 × 11 × 13 × 17 × 29 × 29 × 181)See below for interesting mathematical facts about the number 138768469125 from the Numbermatics database.
Names of 138768469125
- Cardinal: 138768469125 can be written as One hundred thirty-eight billion, seven hundred sixty-eight million, four hundred sixty-nine thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38768469125 × 1011
Factors of 138768469125
Divisors of 138768469125
- Number of divisors d(n): 384
-
Complete list of divisors:
1 3 5 11 13 15 17 25 29 33 39 51 55 65 75 85 87 125 143 145 165 181 187 195 221 255 275 319 325 375 377 425 429 435 493 543 561 663 715 725 825 841 905 935 957 975 1105 1131 1275 1375 1479 1595 1625 1885 1991 2125 2145 2175 2353 2431 2465 2523 2715 2805 3077 3315 3575 3625 4125 4147 4205 4525 4675 4785 4875 5249 5423 5525 5655 5973 6375 6409 7059 7293 7395 7975 9231 9251 9425 9955 10725 10875 10933 11765 12155 12325 12441 12615 13575 14025 14297 15385 15747 16269 16575 17875 19227 20735 21025 22625 23375 23925 25883 26245 27115 27625 27753 28275 29865 32045 32799 33847 35295 36465 36975 39875 40001 42891 46155 46255 47125 49775 53625 54665 57739 58825 60775 61625 62205 63075 67875 68237 70125 70499 71485 76925 77649 78735 81345 82875 89233 96135 101541 103675 105125 119625 120003 120263 129415 131225 135575 138765 141375 149325 152221 157267 160225 163995 169235 173217 176475 182325 184875 185861 200005 204711 211497 214455 230775 231275 248875 267699 273325 288695 294125 303875 311025 315375 341185 352495 357425 360789 384625 388245 393675 406725 440011 446165 456663 471801 480675 507705 518375 557583 600015 601315 647075 656125 677875 693825 746625 750607 761105 786335 801125 819975 846175 866085 882375 911625 929305 981563 1000025 1023555 1057485 1072275 1153875 1156375 1160029 1320033 1338495 1366625 1443475 1555125 1674431 1705925 1762475 1787125 1803945 1941225 1968375 1978873 2033625 2044471 2200055 2230825 2251821 2283315 2359005 2403375 2538525 2587757 2787915 2944689 3000075 3006575 3235375 3469125 3480087 3753035 3805525 3931675 4099875 4230875 4330425 4646525 4907815 5000125 5023293 5117775 5287425 5361375 5800145 5936619 6133413 6600165 6692475 7217375 7763271 8372155 8529625 8812375 9019725 9706125 9894365 10222355 11000275 11154125 11259105 11416575 11795025 12692625 12760319 12938785 13939575 14723445 15000375 15032875 17400435 18765175 19027625 19658375 21652125 21767603 23232625 24539075 25116465 25588875 26437125 28465327 29000725 29683095 30667065 33000825 33462375 33640841 38280957 38816355 41860775 45098625 49471825 51111775 55001375 56295525 57082875 58975125 63801595 64693925 65302809 69697875 73617225 85395981 87002175 93825875 100922523 108838015 122695375 125582325 142326635 145003625 148415475 153335325 165004125 168204205 191404785 194081775 209303875 247359125 255558875 281477625 319007975 323469625 326514045 368086125 370049251 426979905 435010875 504612615 544190075 627911625 711633175 742077375 766676625 841021025 957023925 970408875 1110147753 1595039875 1632570225 1850246255 2134899525 2523063075 2720950375 3558165875 4205105125 4785119625 5550738765 8162851125 9251231275 10674497625 12615315375 27753693825 46256156375 138768469125
- Sum of all divisors σ(n): 299127209472
- Sum of proper divisors (its aliquot sum) s(n): 160358740347
- 138768469125 is an abundant number, because the sum of its proper divisors (160358740347) is greater than itself. Its abundance is 21590271222
Bases of 138768469125
- Binary: 100000010011110011111011001100100001012
- Hexadecimal: 0x204F3ECC85
- Base-36: 1RQZ5W1X
Squares and roots of 138768469125
- 138768469125 squared (1387684691252) is 19256688023296078265625
- 138768469125 cubed (1387684691253) is 2672221117410519117536966361328125
-
The
square root of 138768469125 is 372516.4011489963 -
The
cube root of 138768469125 is 5177.2237216749
Scales and comparisons
How big is 138768469125?- 138,768,469,125 seconds is equal to 4,412 years, 21 weeks, 1 day, 12 hours, 58 minutes, 45 seconds.
-
To count from 1 to 138,768,469,125 would take you about eight thousand, eight hundred twenty-four years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138768469125 cubic inches would be around 431.4 feet tall.
Recreational maths with 138768469125
- 138768469125 backwards is 521964867831
- The number of decimal digits it has is: 12
- The sum of 138768469125's digits is 60
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138768469125 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
APA style:
Numbermatics. (2024). Number 138768469125 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/138768469125/
Chicago style:
Numbermatics. 2024. "Number 138768469125 - Facts about the integer". https://numbermatics.com/n/138768469125/
The information we have on file for 138768469125 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 138768469125, math, Factors of 138768469125, curriculum, school, college, exams, university, Prime factorization of 138768469125, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, seven hundred sixty-eight million, four hundred sixty-nine thousand, one hundred twenty-five.